Let ( y - C)2 = Cx be the primitive of The no. of integral curves which will pass through (1, 2) is,
Which of the following transformations reduce the differential equation into the form
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The solution of the differential equation
where y(0) = 0 and y'(0) = -2 is
An integrating factor of the differential equation
The differential equation representing the family of circles touching x-axis at the origin is
A curve passing through (2,3) and satisfying the differential equation
The differential equation
(3a2x2 + by cos x)dx + (2 sin x - 4ay3)dy = 0 is exact for
The integrating factor of the equation (1 + y2)dx = (tan-1y - x)dy is -
The slope of a curve at any point is the reciprocal of twice the ordinate at the point and it passes through the point (4, 3). The equation of the curve is
If (c1 logx + c2)x2 is the general solution of the differential equation then k equals
Consider a function g which has derivative g’(x) for every real x and which satisfies g’(0) = 2 and g(x + y) = ey g(x) + ex g(y) for all x and y. Then which of the followings is/are correct ?
Consider the differential equation (3x2y4 + 2xy)dx+(2x3y3 - x2)dy=0 then which of the follwing(s) is/are not an I.F
If y1 and y2 are two solution of the differential equation . Then which of the followings can be given as general soln of this differential eqn.
For the given differential equation, which of the following(s) statement are true,
Given that φ(x) = x2 is a solution of the differential equation, then which of the following(s) is/are not its 2nd L.l. solution.
If the integrating factor of the differential equation, (x7y2 + 3y)dx + 3x8y - x) dy = 0 is of the form xmyn , then the sum of value of m and n is __________.
The sum of order and degree of the differential equation representing the family o f parabolas whose center is (-a.O) i s _______ .
The value o f y as t -> ∞ , for an initial value o f y(1) = 0, for the differential equation
If y = f(x) be a particular solution of differential equation y" + 4y = 4 cosec2 2x , then f(x) at is _________.
Consider the differential equation be its general solution and u(x) = x3 then the value of v(x) at x=(-1) is, _________
No. of regular Singular points of the differential equation, x2( x - 2 )2 y" + 2x (x - 2) y’+ (x + 1)y = 0. is __________.
The value of I.F of the differential equation, at x = 2 is, _______.
The directional derivative of f(x,y) = x2 + xy at Po(1,2) in the direction of the unit vector
Find the directional Derivative of f(x,y) = x2 sin 2y at the point
Find the derivation of f(x,y,z) = x3 - xy2 -z at Po (1,1,0) in the direction of v= 2i - 3j+ 6k
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